04712nam 22013335 450 991015474410332120190708092533.01-4008-8247-810.1515/9781400882472(CKB)3710000000631361(MiAaPQ)EBC4738733(DE-B1597)468018(OCoLC)979743327(DE-B1597)9781400882472(EXLCZ)99371000000063136120190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierLectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 /Gerd FaltingsPrinceton, NJ : Princeton University Press, [2016]©19921 online resource (113 pages)Annals of Mathematics Studies ;3090-691-08771-7 0-691-02544-4 Includes bibliographical references.Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- LIST OF SYMBOLS -- LECTURE 1. CLASSICAL RIEMANN-ROCH THEOREM -- LECTURE 2. CHERN CLASSES OF ARITHMETIC VECTOR BUNDLES -- LECTURE 3. LAPLACIANS AND HEAT KERNELS -- LECTURE 4. THE LOCAL INDEX THEOREM FOR DIRAC OPERATORS -- LECTURE 5. NUMBER OPERATORS AND DIRECT IMAGES -- LECTURE 6. ARITHMETIC RIEMANN-ROCH THEOREM -- LECTURE 7. THE THEOREM OF BISMUT-VASSEROT -- REFERENCESThe arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.Annals of mathematics studies ;no. 127.Geometry, AlgebraicRiemann-Roch theoremsAddition.Adjoint.Alexander Grothendieck.Algebraic geometry.Analytic torsion.Arakelov theory.Asymptote.Asymptotic expansion.Asymptotic formula.Big O notation.Cartesian coordinate system.Characteristic class.Chern class.Chow group.Closed immersion.Codimension.Coherent sheaf.Cohomology.Combination.Commutator.Computation.Covariant derivative.Curvature.Derivative.Determinant.Diagonal.Differentiable manifold.Differential form.Dimension (vector space).Divisor.Domain of a function.Dual basis.E6 (mathematics).Eigenvalues and eigenvectors.Embedding.Endomorphism.Exact sequence.Exponential function.Generic point.Heat kernel.Injective function.Intersection theory.K-group.Levi-Civita connection.Line bundle.Linear algebra.Local coordinates.Mathematical induction.Morphism.Natural number.Neighbourhood (mathematics).Parameter.Projective space.Pullback (category theory).Pullback (differential geometry).Pullback.Riemannian manifold.Riemann–Roch theorem.Self-adjoint operator.Smoothness.Sobolev space.Stochastic calculus.Summation.Supertrace.Theorem.Transition function.Upper half-plane.Vector bundle.Volume form.Geometry, Algebraic.Riemann-Roch theorems.516.3/5Faltings Gerd, 59811Zhang Shouwu1195550DE-B1597DE-B1597BOOK9910154744103321Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 1272864903UNINA05120oam 2200541 450 991077988330332120190911112729.0981-4460-25-7(OCoLC)852149531(MiFhGG)GVRL8RBK(EXLCZ)99255000000109603920130510h20132013 uy 0engurun|---uuuuatxtccrAchieving the rare Robert F. Christy's journey in physics and beyond /I.-Juliana Christy, California Institute of Technology, USAHackensack, NJ World Scientific2013New Jersey :World Scientific,[2013]�20131 online resource (xv, 349 pages) illustrations (some color)Gale eBooksIncludes index.981-4460-24-9 1-299-71363-7 Contents; Preface; Chapter 1. His Childhood; The Origin of Robert's Names; The Sinking of the Titanic; Marriage of Moise and Hattie (Robert's Parents); Death of Robert's Father; Robert's Early Years; No More Gambling; Death of Robert's Mother; Early Interests; Academic Successes; Chapter 2. The Formative UBC Years; Robert's Social Life at UBC; Summer Jobs While at UBC; Moving On from UBC; Chapter 3. Exciting Graduate Years with Oppenheimer; Becoming Part of the Birth of Particle Physics; Robert's Years at Berkeley in His Own Words; Chapter 4. The First Marriage, to Dagmar von LievenRobert's Parenting of His Sons Ted and PeterRobert's Memories of His Sons; Ted and Peter in College and as Adults; An Unusually Amicable Divorce; Chapter 5. The Very First Nuclear Reactor; An Unfulfilling Job Teaching at Illinois Tech in 1941; Background: The Discovery of Nuclear Fission in Germany; Origin of the German Nuclear Project; Origin of the U.S. Nuclear Project; The Early British Nuclear Project; The Manhattan Project Begins; Robert Joins the Project; The Creation of the First Nuclear Reactor, Chicago Pile-1; Founding of the Hanford Reactors; Founding of the Argonne ReactorsRobert's Friendship with FermiThe Fizzling of the Nazi Nuclear Project; The 1962 White House Reception Commemorating Chicago Pile-1; Chapter 6. Designing the First Atomic Bomb; Robert's Arrival at Los Alamos in Early 1943; Robert's Bosses at Los Alamos: Peierls, Bethe, Oppenheimer, and Groves; The Spy Klaus Fuchs; Robert's "Instant Fame" from His "Water Boiler" Reactor Calculations; The One-Dollar Patents at Los Alamos; Understanding Large Explosions such as the Volcano Krakatoa; Robert's Work on the Implosion Bomb: the "Christy Gadget"; Why the "Christy Gadget" and Not the "Christy Bomb"?The Trinity Test for the Implosion DesignFirst Attempts to Prevent the Actual Use of Atomic Bombs; Firebombing vs. Atomic Bombs; Groves' Motivation for Dropping the Bombs; The Use of the Two Atomic Bombs; After the War Had Ended; Robert's Memories of His Colleagues at Los Alamos; Robert's Memories of Visitors von Neumann and Bohr; Recreational Activities at Los Alamos; The Patent for the "Water Boiler" Reactor; A 1991 Package of Declassified Information on the "Water Boiler" Reactor; A Retrospective Article in the Pasadena Star-News; Chapter 7. Opposing Nuclear Weapons ProliferationRobert's View of the "Christy gadget"The Association of Los Alamos Scientists; The Oppenheimer Trial; The Teller Handshake Incident; Security Interview of Robert in 1955, Regarding Communism; The 1963 Enrico Fermi Award for Oppenheimer; Working Towards an Atmospheric Test Ban; The Los Angeles Times Gamble; Robert Discovers the Cause of Mysterious Communication Failures; Robert's Work Towards Initiating the SALT Talks; Robert's Opposition to Higher-Tech Weapons in the Vietnam War; Chapter 8. Becoming Oppenheimer's Successor at Caltech; Working with Fermi in Chicago, and Co-Habiting with TellerLeaving for CaltechRobert F Christy was a fascinating physicist who was one of the key players in some of the most dramatic events of the 20th century.He was one of Oppenheimer's students, whom Oppenheimer hailed as "one of the best in the world." He was a co-creator of the world's first nuclear reactor and the first atom bombs, of which the most practical design was called the "Christy Gadget." Later, he became a leader in the effort to contain nuclear proliferation, leading up to the SALT talks, and headed a study on long-term health effects of radiation crucial for medical safety standards. He also made pionePhysicistsUnited StatesBiographyNuclear physicsUnited StatesHistory20th centuryAstrophysicsUnited StatesHistory20th centuryPhysicistsNuclear physicsHistoryAstrophysicsHistory530.092BChristy I.-Juliana1502055MiFhGGMiFhGGBOOK9910779883303321Achieving the rare3729548UNINA01700nam0 22004213i 450 VAN0021920720240806101253.780N978303031022620210929d2019 |0itac50 baengCH|||| |||||Theoretical Fluid DynamicsAchim FeldmeierChamSpringer2019xvi, 569 p.ill.24 cm001VAN000655282001 Theoretical and mathematical physics210 Berlin [etc.]SpringerVAN00219208Theoretical Fluid Dynamics187309576-XXFluid mechanics [MSC 2020]VANC019858MFJets wakes and cavitiesKW:KKelvin-Helmholtz instabilityKW:KKinematics of wavesKW:KMathematical fluid dynamicsKW:KNonlinear wavesKW:KShocks and boresKW:KSingularity theoryKW:KTides in canalKW:KVortex streetsKW:KCHChamVANL001889FeldmeierAchimVANV186342838597Springer <editore>VANV108073650ITSOL20241115RICAhttp://doi.org/10.1007/978-3-030-31022-6E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08NVAN00219207BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08DLOAD e-book 4062 08eMF4062 20210929 Theoretical Fluid Dynamics1873095UNICAMPANIA